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Simplifying 5u + 5(1 + u) = u + 8 5u + (1 * 5 + u * 5) = u + 8 5u + (5 + 5u) = u + 8 Reorder the terms: 5 + 5u + 5u = u + 8 Combine like terms: 5u + 5u = 10u 5 + 10u = u + 8 Reorder the terms: 5 + 10u = 8 + u Solving 5 + 10u = 8 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 5 + 10u + -1u = 8 + u + -1u Combine like terms: 10u + -1u = 9u 5 + 9u = 8 + u + -1u Combine like terms: u + -1u = 0 5 + 9u = 8 + 0 5 + 9u = 8 Add '-5' to each side of the equation. 5 + -5 + 9u = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 9u = 8 + -5 9u = 8 + -5 Combine like terms: 8 + -5 = 3 9u = 3 Divide each side by '9'. u = 0.3333333333 Simplifying u = 0.3333333333
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